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Implement some of the math functions added in C99.

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The functions implemented so far are largely the ones that map (nearly) directly to SANE calls.

Note that C99 specifies separate float/double/long double versions of each of these functions, but under ORCA/C they generally use the same code.
This commit is contained in:
Stephen Heumann 2021-11-20 19:24:51 -06:00
parent fb5683a14d
commit 3ec8a8797f
2 changed files with 764 additions and 1 deletions
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645
math2.asm
View File

@ -15,6 +15,19 @@
math2 private dummy segment
end
****************************************************************
*
* MathCommon2 - common work areas for the math library
*
****************************************************************
*
MathCommon2 privdata
;
; temporary work space/return value
;
t1 ds 10
end
****************************************************************
*
* int __fpclassifyf(float x);
@ -194,3 +207,635 @@ lb1 sta mask
creturn 2:mask
end
****************************************************************
*
* double cbrt(double x);
*
* Returns x^(1/3) (the cube root of x).
*
****************************************************************
*
cbrt start
cbrtf entry
cbrtl entry
using MathCommon2
phb place the number in a work area
plx (except exponent/sign word)
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla get exponent/sign word
phy
phx
pha save original sign
and #$7FFF
sta t1+8 force sign to +
ph4 #onethird compute abs(x)^(1/3)
ph4 #t1
FXPWRY
pla if sign of x was -
bpl ret
lda t1+8
ora #$8000
sta t1+8 set sign of result to -
ret plb
ldx #^t1 return a pointer to the result
lda #t1
rtl
onethird dc e'0.33333333333333333333'
end
****************************************************************
*
* double copysign(double x, double y);
*
* Returns a value with the magnitude of x and the sign of y.
*
****************************************************************
*
copysign start
copysignf entry
copysignl entry
using MathCommon2
phb place x in a work area...
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
asl a ...with the sign bit shifted off
sta t1+8
pla remove y
pla
pla
pla
pla
asl a get sign bit of y
ror t1+8 give return value that sign
phy
phx
plb
ldx #^t1 return a pointer to the result
lda #t1
rtl
end
****************************************************************
*
* double exp2(double x);
*
* Returns 2^x.
*
****************************************************************
*
exp2 start
exp2f entry
exp2l entry
using MathCommon2
phb place the number in a work area
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
sta t1+8
phy
phx
plb
ph4 #t1 compute the value
FEXP2X
ldx #^t1 return a pointer to the result
lda #t1
rtl
end
****************************************************************
*
* double expm1(double x);
*
* Returns e^x - 1.
*
****************************************************************
*
expm1 start
expm1f entry
expm1l entry
using MathCommon2
phb place the number in a work area
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
sta t1+8
phy
phx
plb
ph4 #t1 compute the value
FEXP1X
ldx #^t1 return a pointer to the result
lda #t1
rtl
end
****************************************************************
*
* int ilogb(double x);
*
* Returns the binary exponent of x (a signed integer value),
* treating denormalized numbers as if they were normalized.
* Handles inf/nan/0 cases specially.
*
****************************************************************
*
ilogb start
ilogbf entry
ilogbl entry
csubroutine (10:x),0
tdc check for special cases
clc
adc #x
pea 0
pha
FCLASSX
ldy #$7FFF
txa
and #$FF
cmp #$FE if x is INF
beq special return INT_MAX
lsr a
beq do_logb if x is 0 or NAN
iny return INT_MIN
special sty x
bra ret
do_logb tdc compute logb(x)
clc
adc #x
pea 0
pha
FLOGBX
tdc convert to integer
clc
adc #x
pea 0
pha
pea 0
pha
FX2I
ret creturn 2:x return it
rtl
end
****************************************************************
*
* double log1p(double x);
*
* Returns ln(1+x).
*
****************************************************************
*
log1p start
log1pf entry
log1pl entry
using MathCommon2
phb place the number in a work area
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
sta t1+8
phy
phx
plb
ph4 #t1 compute the value
FLN1X
ldx #^t1 return a pointer to the result
lda #t1
rtl
end
****************************************************************
*
* double log2(double x);
*
* Returns log2(x) (the base-2 logarithm of x).
*
****************************************************************
*
log2 start
log2f entry
log2l entry
using MathCommon2
phb place the number in a work area
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
sta t1+8
phy
phx
plb
ph4 #t1 compute the value
FLOG2X
ldx #^t1 return a pointer to the result
lda #t1
rtl
end
****************************************************************
*
* double logb(double x);
*
* Returns the binary exponent of x (a signed integer value),
* treating denormalized numbers as if they were normalized.
*
****************************************************************
*
logb start
logbf entry
logbl entry
using MathCommon2
phb place the number in a work area
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
sta t1+8
phy
phx
plb
ph4 #t1 compute the value
FLOGBX
ldx #^t1 return a pointer to the result
lda #t1
rtl
end
****************************************************************
*
* long lrint(double x);
*
* Rounds x to an integer using current rounding direction
* and returns it as a long (if representable).
*
****************************************************************
*
lrint start
lrintf entry
lrintl entry
csubroutine (10:x),0
tdc convert to integer
clc
adc #x
pea 0
pha
pea 0
pha
FX2L
ret creturn 4:x return it
rtl
end
****************************************************************
*
* double remainder(double x, double y);
*
* Returns x REM y as specified by IEEE 754: r = x - ny,
* where n is the integer nearest to the exact value of x/y.
* When x/y is halfway between two integers, n is even.
* If r = 0, its sign is that of x.
*
****************************************************************
*
remainder start
remainderf entry
remainderl entry
using MathCommon2
phb place x in a work area
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
sta t1+8
phy
phx
tsc compute the value
clc
adc #5
pea 0
pha
ph4 #t1
FREMX
pla move return address
sta 9,s
pla
sta 9,s
tsc
clc
adc #6
tcs
plb
ldx #^t1 return a pointer to the result
lda #t1
rtl
end
****************************************************************
*
* double remquo(double x, double y, int *quo);
*
* Returns x REM y as specified by IEEE 754 (like remainder).
* Also, sets *quo to a value whose sign is the same as x/y
* and whose magnitude gives the low-order 7 bits of the
* magnitude of the integer quotient x/y.
*
****************************************************************
*
remquo start
remquof entry
remquol entry
using MathCommon2
phb place x in a work area
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
sta t1+8
phy
phx
tsc compute the value
clc
adc #5
pea 0
pha
ph4 #t1
FREMX
phd
php save sign flag
tsc
tcd
txa calculate value to store in *quo
and #$007F
plp
bpl setquo
eor #$FFFF
inc a
setquo sta [18] store it
pld
pla move return address
sta 13,s
pla
sta 13,s
tsc
clc
adc #10
tcs
plb
ldx #^t1 return a pointer to the result
lda #t1
rtl
end
****************************************************************
*
* double rint(double x);
*
* Rounds x to an integer using current rounding direction.
*
****************************************************************
*
rint start
rintf entry
rintl entry
using MathCommon2
phb place the number in a work area
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
sta t1+8
phy
phx
plb
ph4 #t1 compute the value
FRINTX
ldx #^t1 return a pointer to the result
lda #t1
rtl
end
****************************************************************
*
* double scalbn(double x, int n);
*
* Returns x * 2^n.
*
****************************************************************
*
scalbn start
scalbnf entry
scalbnl entry
using MathCommon2
phb place x in a work area
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
sta t1+8
pla get n
phy
phx
pha compute the value
ph4 #t1
FSCALBX
plb
ldx #^t1 return a pointer to the result
lda #t1
rtl
end
****************************************************************
*
* double trunc(double x);
*
* Truncates x to an integer (discarding fractional part).
*
****************************************************************
*
trunc start
truncf entry
truncl entry
using MathCommon2
phb place the number in a work area
plx
ply
phk
plb
pla
sta t1
pla
sta t1+2
pla
sta t1+4
pla
sta t1+6
pla
sta t1+8
phy
phx
plb
ph4 #t1 compute the value
FTINTX
ldx #^t1 return a pointer to the result
lda #t1
rtl
end

120
math2.macros
View File

@ -92,6 +92,52 @@
rtl
mend
MACRO
&LAB PH4 &N1
LCLC &C
&LAB ANOP
&C AMID &N1,1,1
AIF "&C"="#",.D
AIF S:LONGA=1,.A
REP #%00100000
.A
AIF "&C"<>"{",.B
&C AMID &N1,L:&N1,1
AIF "&C"<>"}",.G
&N1 AMID &N1,2,L:&N1-2
LDY #2
LDA (&N1),Y
PHA
LDA (&N1)
PHA
AGO .E
.B
AIF "&C"<>"[",.C
LDY #2
LDA &N1,Y
PHA
LDA &N1
PHA
AGO .E
.C
LDA &N1+2
PHA
LDA &N1
PHA
AGO .E
.D
&N1 AMID &N1,2,L:&N1-1
PEA +(&N1)|-16
PEA &N1
AGO .F
.E
AIF S:LONGA=1,.F
SEP #%00100000
.F
MEXIT
.G
MNOTE "Missing closing '}'",16
MEND
MACRO
&LAB FCLASSS
&LAB PEA $021C
LDX #$090A
@ -123,7 +169,79 @@
MEND
MACRO
&LAB FCMPX
&LAB PEA $08
&LAB PEA $0008
LDX #$090A
JSL $E10000
MEND
MACRO
&LAB FEXP2X
&LAB PEA $000A
LDX #$0B0A
JSL $E10000
MEND
MACRO
&LAB FEXP1X
&LAB PEA $000C
LDX #$0B0A
JSL $E10000
MEND
MACRO
&LAB FLN1X
&LAB PEA $0004
LDX #$0B0A
JSL $E10000
MEND
MACRO
&LAB FLOG2X
&LAB PEA $0002
LDX #$0B0A
JSL $E10000
MEND
MACRO
&LAB FLOGBX
&LAB PEA $001A
LDX #$090A
JSL $E10000
MEND
MACRO
&LAB FX2I
&LAB PEA $0410
LDX #$090A
JSL $E10000
MEND
MACRO
&LAB FTINTX
&LAB PEA $0016
LDX #$090A
JSL $E10000
MEND
MACRO
&LAB FRINTX
&LAB PEA $0014
LDX #$090A
JSL $E10000
MEND
MACRO
&LAB FX2L
&LAB PEA $0310
LDX #$090A
JSL $E10000
MEND
MACRO
&LAB FXPWRY
&LAB PEA $0012
LDX #$0B0A
JSL $E10000
MEND
MACRO
&LAB FREMX
&LAB PEA $000C
LDX #$090A
JSL $E10000
MEND
MACRO
&LAB FSCALBX
&LAB PEA $0018
LDX #$090A
JSL $E10000
MEND